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Unformatted text preview: y = 0, y = 4 x-x 2 and y = 4-x 2 . (Hint: It might help to sketch the region, which is roughly triangular with one corner at the point (1 , 3)). (a) ind the area of the region. (b) ind the volume of the solid obtained by rotating the region about the x-axis. (c) ind the volume of the solid obtained by rotating the region about the y-axis. 4. (10 points) ind the following numbers: (a) i x =1 x =-1 x 3 r x 4 + 1 dx = (b) i x =5 x = e dx x ln( x ) = 5. (15 points) ind the following functions: (a) i cos(3 x ) (5 sin(3 x ) + 7) 2 dx = (b) i sin( e 2 x ) e 2 x dx = (c) d dx i 2 x 1 cos 2 ( t 4 ) dt =...
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